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The text is a rejoinder to Mr. Wciórka's critical analysis of two author's arguments against nominalistic definition of abstract objects. The author shows that although his first argument is not sound, the second still remains correct. The paper also offers a modified definition of abstract objects inspired by E. N. Zalta's metaphysical theory of objects and some critical remarks, which Mr. Wciórka aimed at the earlier papers of the author.
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